1. Solving Systems of Equations Part 2
Literal Equations – Reviewing and Foreshadowing

2. Common Core
Algebra 1
#15, #16, #17
Rearrange formulas to highlight a quantity of interest USING the same reasoning as solving equations.

3. NOTEBOOK EXAMPLES (1) 2x + 3y = 9 for y (2) 4x – 7y = 7 for x
For each of the problems below, solve for the given variable. Show each step needed to justify your answer.
(1) 2x + 3y = 9 for y
(2) 4x – 7y = 7 for x
(3) ax + by = c for y

4. ANSWERS (1) 2x + 3y = 9 for y y = 9 – 2x/3 (2) 4x – 7y = 7 for x
(3) ax + by = c for y
y = c – ax/b

5. NOTEBOOK EXAMPLES (4) I = prt for p (5) F = ma for a
For each of the problems below, solve for the given variable. Show each step needed to justify your answer.
(4) I = prt for p
(5) F = ma for a
(6) T = p + prt for p

6. ANSWERS (4) I = prt for p p = I/rt (5) F = ma for a a = F/m
(6) T = p + prt for p
p = T/1 + rt

7. NOTEBOOK EXAMPLES (7) p = 2l + 2w for w (8) y = mx + b for m
For each of the problems below, solve for the given variable. Show each step needed to justify your answer.
(7) p = 2l + 2w for w
(8) y = mx + b for m
(9) A = ½h(b₁ + b₂) for h

8. Answers (7) p = 2l + 2w for w w = p – 2l/2 (8) y = mx + b for m
m = y – b/x
(9) A = ½h(b₁ + b₂) for h
h = 2A/b₁ +b₂

9. YOU TRY THESE (10) p = 2l + 2w for l (11) I = prt for r
For each of the problems below, solve for the given variable. Show each step needed to justify your answer.
(10) p = 2l + 2w for l
(11) I = prt for r
(12) L = a + (n + 1)d for d

10. ANSWERS (10) p = 2l + 2w for l l = p -2w/2 (11) I = prt for r r = I/pt
(12) L = a + (n + 1)d for d
d = L – a/n + 1

11. BIG DOG (13) m = y - y₁ for y x - x₁
For each of the problems below, solve for the given variable. Show each step needed to justify your answer.
(13) m = y - y₁ for y
x - x₁

12. ANSWER (13) m = y - y₁ for y x - x₁ y = m(x - x₁) + y₁
What is this also called?
Point Slope form